1.

(a) A certain buffer solution contains equal concentration of X− and HX. The Kb for X− is 10-10. What is the pH of the buffer?(b) Assuming that the buffer in blood is CO2 −HCO3−, calculate the ratio of conjugate base to acid necessary to maintain blood at its proper pH, 7.4.Ka of H2CO3 = 4.5 × 10-7 .

Answer»

(a) Given, Kb = 10−10

pKb = − log[Kb ] = −log[10−10]

= 10 log 10 = 10

\(\because\) pKa + pKb = 14

or pKa = 14 - pKb = 14 - 10 = 4

For acidic buffer,

pH = pKa + log\(\frac{[Salt]}{[acid]}\)

\(\because\) [X] = [HX]

\(\therefore\) pH = pKa = 4

(b) Given, pH = 7.4

Ka = 4.5 × 10−7

CO2 + H2O ⇌ H+ + HCO3

Ka\(\frac{[H^+][HCO_3^-]}{[CO_2]}\)

Now pH = - log [H+]

Or [H+] = 10−pH

= 10−7.4

= 4.0 × 10−8​​​​​​​

So, from equation (i),

\(\frac{[HCO_3^-]}{[CO_2]}\) = \(\frac{K_a}{[H^+]}\)

\(\frac{4.5\times10^{-7}}{4.0\times10^{-8}}\)

= 11



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